Aging transition in systems of oscillators with global distributed-delay coupling
arXiv:1710.08383 · doi:10.1103/PhysRevE.96.032203
Abstract
We consider a globally coupled network of active (oscillatory) and inactive (non-oscillatory) oscillators with distributed-delay coupling. Conditions for aging transition, associated with suppression of oscillations, are derived for uniform and gamma delay distributions in terms of coupling parameters and the proportion of inactive oscillators. The results suggest that for the uniform distribution increasing the width of distribution for the same mean delay allows aging transition to happen for a smaller coupling strength and a smaller proportion of inactive elements. For gamma distribution with sufficiently large mean time delay, it may be possible to achieve aging transition for an arbitrary proportion of inactive oscillators, as long as the coupling strength lies in a certain range.
arXiv comment21 pages, 7 figures
References in corpus (14)
- Synchronization in Complex Oscillator Networks and Smart Grids
- Time Delay Induced Death in Coupled Limit Cycle Oscillators
- Analysis of a power grid using the Kuramoto-like model
- Distributed Delays Facilitate Amplitude Death of Coupled Oscillators
- Experimental Evidence of Time Delay Induced Death in Coupled Limit Cycle Oscillators
- Time Delay Effects on Coupled Limit Cycle Oscillators at Hopf Bifurcation
- Universal behavior in populations composed of excitable and self-oscillatory elements
- Time delay control of symmetry-breaking primary and secondary oscillation death
- Amplitude and phase dynamics in oscillators with distributed-delay coupling
- Amplitude death in systems of coupled oscillators with distributed-delay coupling
- Synchronization of networks of oscillators with distributed delay coupling
- Stabilization of unstable steady states by variable delay feedback control
- Variable-delay feedback control of unstable steady states in retarded time-delayed systems
- Fluctuation of Dynamical Robustness in a Networked Oscillators System